165022272 has 140 divisors (see below), whose sum is σ = 494940336. Its totient is φ = 54587520.

The previous prime is 165022271. The next prime is 165022279. The reversal of 165022272 is 272220561.

165022272 is a `hidden beast` number, since 1 + 650 + 2 + 2 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165022271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259647 + ... + 1259777.

Almost surely, 2^165022272 is an apocalyptic number.

165022272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247470168).

165022272 is an abundant number, since it is smaller than the sum of its proper divisors (329918064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165022272 is an frugal number, since it uses more digits than its factorization.

165022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 165022272 is about 12846.0994858362. The cubic root of 165022272 is about 548.5053324383.

The spelling of 165022272 in words is "one hundred sixty-five million, twenty-two thousand, two hundred seventy-two".